11202301012200 has 384 divisors, whose sum is σ = 36066702297600. Its totient is φ = 2872889850880.

The previous prime is 11202301012141. The next prime is 11202301012291. The reversal of 11202301012200 is 221010320211.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11202301012200.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6720035767 + ... + 6720037433.

It is an arithmetic number, because the mean of its divisors is an integer number (93923703900).

Almost surely, 2^{11202301012200} is an apocalyptic number.

11202301012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11202301012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18033351148800).

11202301012200 is an abundant number, since it is smaller than the sum of its proper divisors (24864401285400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11202301012200 is a wasteful number, since it uses less digits than its factorization.

11202301012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3009 (or 3000 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 11202301012200 its reverse (221010320211), we get a palindrome (11423311332411).

The spelling of 11202301012200 in words is "eleven trillion, two hundred two billion, three hundred one million, twelve thousand, two hundred".